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Finding the Fourth Proportional to 1,133.07, 1,564.07 and 1,101.86

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Solution

The fourth proportional to 1,133.07, 1,564.07 and 1,101.86 is: 1,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.07 : 1,564.07 = 1,101.86 : x
  2. Step 2: Convert to fraction form
    1,133.07/1,564.07 = 1,101.86/x
  3. Step 3: Cross multiply
    1,133.07x = 1,564.07 × 1,101.86
  4. Step 4: Simplify right side
    1,133.07x = 1,723,386.17
  5. Step 5: Solve for x
    x = 1,723,386.17/1,133.07
  6. Step 6: Final answer
    x = 1,520.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.